All primitive strongly regular graphs except four are hyperenergetic

    Authors

    P. Panigrahi;R. N. Mohapatra

    Comments

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    Abbreviated Journal Title

    Appl. Math. Lett.

    Keywords

    Strongly regular graphs; Eigenvalues; Graph energy; Mathematics, Applied

    Abstract

    The energy of a graph G, denoted by E(G), is the sum of the absolute values of the eigenvalues of G. If G is a graph on n vertices and E(G) > 2(n - 1), then G is called a hyperenergetic graph. In this paper, we prove that all primitive strongly regular graphs except srg(5, 2, 0, 1), srg(9, 4, 1, 2), srg(10, 3, 0, 1), and srg(16, 5, 0, 2) are hyperenergetic. (C) 2011 Elsevier Ltd. All rights reserved.

    Journal Title

    Applied Mathematics Letters

    Volume

    24

    Issue/Number

    12

    Publication Date

    1-1-2011

    Document Type

    Article

    Language

    English

    First Page

    1995

    Last Page

    1997

    WOS Identifier

    WOS:000294886000005

    ISSN

    0893-9659

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